If one were to advertise an added smokey flavor, then marketing it as "smokey" or "smoked" (assuming the product was actually smoked) is correct.
Just like how 'organic' has a specific definition, a 'smokehouse' is: "a building where meat or fish is cured by means of dense smoke" [0]. So if the product is not cured in dense smoke in a building, then it cannot be marketed as smokehouse{d}.
It's as easy as using specific terminology to market their product. The fact that food producers don't, indicates to me that they're either stupid (and unaware of what words mean) or it's done maliciously (to mislead people).
Just like how 'organic' has a specific definition, a 'smokehouse' is: "a building where meat or fish is cured by means of dense smoke" [0]. So if the product is not cured in dense smoke in a building, then it cannot be marketed as smokehouse{d}.
It's as easy as using specific terminology to market their product. The fact that food producers don't, indicates to me that they're either stupid (and unaware of what words mean) or it's done maliciously (to mislead people).
0: https://www.merriam-webster.com/dictionary/smokehouse